Internal problem ID [13530]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 14. Higher order equations and the reduction of order method. Additional
exercises page 277
Problem number: 14.1 (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +3 y={\mathrm e}^{2 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 28
dsolve(x*diff(y(x),x)+3*y(x)=exp(2*x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (2 x^{2}-2 x +1\right ) {\mathrm e}^{2 x}+4 c_{1}}{4 x^{3}} \]
✓ Solution by Mathematica
Time used: 0.069 (sec). Leaf size: 33
DSolve[x*y'[x]+3*y[x]==Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^{2 x} \left (2 x^2-2 x+1\right )+4 c_1}{4 x^3} \]